Search a number
-
+
4032055132 = 227194324099
BaseRepresentation
bin1111000001010100…
…0100011101011100
3101102000000121211021
43300111010131130
531224201231012
61504032533524
7201626621530
oct36025043534
911360017737
104032055132
111789a98776
129463b12a4
134c3465c51
142a36d9bc0
15188ea8007
hexf054475c

4032055132 has 72 divisors (see below), whose sum is σ = 8692656000. Its totient is φ = 1598613408.

The previous prime is 4032055123. The next prime is 4032055141. The reversal of 4032055132 is 2315502304.

It is an interprime number because it is at equal distance from previous prime (4032055123) and next prime (4032055141).

It is a junction number, because it is equal to n+sod(n) for n = 4032055097 and 4032055106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 981619 + ... + 985717.

Almost surely, 24032055132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4032055132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4346328000).

4032055132 is an abundant number, since it is smaller than the sum of its proper divisors (4660600868).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4032055132 is a wasteful number, since it uses less digits than its factorization.

4032055132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4215 (or 4170 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 25.

The square root of 4032055132 is about 63498.4655877605. The cubic root of 4032055132 is about 1591.6301375363.

Adding to 4032055132 its reverse (2315502304), we get a palindrome (6347557436).

The spelling of 4032055132 in words is "four billion, thirty-two million, fifty-five thousand, one hundred thirty-two".

Divisors: 1 2 4 7 14 19 28 38 43 76 86 133 172 266 301 532 602 817 1204 1634 1849 3268 3698 4099 5719 7396 8198 11438 12943 16396 22876 25886 28693 35131 51772 57386 70262 77881 114772 140524 155762 176257 245917 311524 352514 491834 545167 705028 983668 1090334 1233799 2180668 2467598 3348883 4935196 6697766 7579051 13395532 15158102 23442181 30316204 46884362 53053357 93768724 106106714 144001969 212213428 288003938 576007876 1008013783 2016027566 4032055132